Publications:
On the rationality of algebraic monodromy groups of compatible systems, to appear in Journal of the European Mathematical Society.
Monodromy of four dimensional irreducible compatible systems of Q (in honor of Professor Michael Larsen's 60th birthday), Bulletin of the London Mathematical Society, Volume 55, Issue 4, August 2023, pp 1773--1790.
Monodromy of subrepresentations and irreducibility of low degree automorphic Galois representations, Journal of the London Mathematical Society, Volume 108, Issue 6, Dec 2023, pp 2085--2490.
Q_l versus F_l-coefficients in the Grothendieck-Serre-Tate conjectures (with Anna Cadoret and Akio Tamagawa), Israel Journal of Mathematics, 257 (2023), 71–-101 (in honor of Professor Moshe Jarden's 80th birthday).
Torsion elements of order p^2 in the Nottingham group (with Krishna Kishore), Journal of Group Theory, Volume 23 (2020), Issue 3, Pages 489–502.
Maximality of Galois actions for abelian and hyper-Kahler varieties (with Michael Larsen), Duke Mathematics Journal 169 (2020), no. 6, 1163--1207.
The abelian part of a compatible system and l-independence of the Tate conjecture, Manuscripta Mathematica, Vol. 161, Issue 1–2, Jan 2020, pp 223--246.
On the rationality of certain type A Galois representations, Transactions of the American Mathematical Society 370, no. 9, Sept 2018, p. 6771--6794.
Geometric monodromy -- semisimplicity and maximality (with Anna Cadoret and Akio Tamagawa), Annals of Mathematics 186 (2017), Issue 1, p. 205--236.
Type A images of Galois representations and maximality (with Michael Larsen), Mathematische Zeitschrift 284 (2016), no. 3–4, p. 989--1003.
The Waring problem for Lie groups and Chevalley groups (with Michael Larsen and Aner Shalev), Israel Journal of Mathematics 210 (2015), no. 1, p. 81--100.
l-independence for compatible systems of (mod l) representations, Compositio Mathematica 151 (2015), no. 7, p. 1215--1241.
Monodromy of Galois representations and equal-rank subalgebra equivalence, Mathematical Research Letters 20 (2013), no. 4, p. 1--24.
Specialization of monodromy group and l-independence, C. R. Acad. Sci. Paris, Ser. I, 350 (2012), p. 5--7.
Diophantine equation of matching games I (with Wai Yan Pong), INTEGERS, Vol. 11 (2011), A57.
An extension result of CR functions by a general Schwarz reflection principle, Complex Variables and Elliptic Equations, Vol.54 (2009), p. 927--934.
Preprints:
Monodromy and irreducibility of type A1 automorphic Galois representations (with Wonwoong Lee), preprint.
Weak abelian direct summands and irreducibility of Galois representations (with Gebhard Böckle), preprint.
Adelic openness without the Mumford-Tate conjecture (with Michael Larsen), preprint.